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# In a distribution of the values of the variable x

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In a distribution of the values of the variable x [#permalink]  03 Dec 2018, 23:57
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Question Stats:

70% (00:43) correct 30% (00:44) wrong based on 10 sessions
In a distribution of the values of the variable x, the 50th percentile is 48.5 and the 60th percentile is 56.5

 Quantity A Quantity B The 40th percentile of the distribution of the values of x 40.5

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given

[Reveal] Spoiler: OA

Last edited by Carcass on 04 Dec 2018, 11:01, edited 1 time in total.
Edited by Carcass
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Re: In a distribution of the values of the variable x [#permalink]  04 Dec 2018, 17:53
Expert's post
chiquinquire wrote:
In a distribution of the values of the variable x, the 50th percentile is 48.5 and the 60th percentile is 56.5

 Quantity A Quantity B The 40th percentile of the distribution of the values of x 40.5

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given

Hi..

Percentile is the relative standing in %..
So here it means 50% of the elements were below 48.5 and 50% above it and 60% were below 56 and 40% above it..
These values do not tell us that at what number does the values start and we cannot say any relationship between the percentile and the number.
Example..
It is possible that the scores started from 45 itself, so the 50% of people scored between 45 and 48.5.
So so 40th percentile will be greater than 40.5
It is also possible that the first 45% scored less than 10 and 45 to 50% scored from 10 to 48.5
Here 40th percentile will be less than 40.5
So no definite information

D
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

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Re: In a distribution of the values of the variable x [#permalink]  04 Dec 2018, 20:10
Ah.. Thank you so much. I have one more question, tho
Just distribution of variable is not related to normal distribution, right ?
I tried to solve this question by using the concept.
Maybe, the concept is not applied to this.
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Re: In a distribution of the values of the variable x [#permalink]  07 Dec 2018, 11:08
chiquinquire wrote:
Ah.. Thank you so much. I have one more question, tho
Just distribution of variable is not related to normal distribution, right ?
I tried to solve this question by using the concept.
Maybe, the concept is not applied to this.

You are exactly correct. If the question does not mention "normal distribution" then it may or may not be normally distributed. And we cannot make that assumption!

As Chetan2u has indicated, since this question does not give us any indication of start of the data or how the percentages correspond to the numbers you cannot know where the 40th percentile is located. Hence D.
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David Newland
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Re: In a distribution of the values of the variable x [#permalink]  07 Dec 2018, 15:52
Thank you for making my doubt clarified.
Re: In a distribution of the values of the variable x   [#permalink] 07 Dec 2018, 15:52
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